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Cherednik-Sobolev spaces and applications - MaRDI portal

Cherednik-Sobolev spaces and applications (Q2263030)

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Cherednik-Sobolev spaces and applications
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    Cherednik-Sobolev spaces and applications (English)
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    17 March 2015
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    The author analyses properties of spaces of Sobolev, potential, Besov and Triebel-Lizorkin type associated with Cherednik operators on \(\mathbb{R}^d\). Applications to wave and Schrödinger type equations are included. Moreover, extremal functions in some of the introduced spaces are studied by means of reproducing kernel Hilbert spaces theory.
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    Cherednik operator
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    Sobolev type space
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    Besov type space
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    wave equation
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    hypoellipticity
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    reproducing kernel Hilbert space
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